Basic Math Examples

8 - 3 \frac{3}{8}

$8 - 3 \frac{3}{8}$

Step 1

Convert

$3 \frac{3}{8}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$8 - (3 + \frac{3}{8})$

Step 1.2

Add

$3$ and

$\frac{3}{8}$ .

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Step 1.2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$8 - (3 \cdot \frac{8}{8} + \frac{3}{8})$

Step 1.2.2

Combine

$3$ and

$\frac{8}{8}$ .

$8 - (\frac{3 \cdot 8}{8} + \frac{3}{8})$

Step 1.2.3

Combine the numerators over the common denominator.

$8 - \frac{3 \cdot 8 + 3}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$3$ by

$8$ .

$8 - \frac{24 + 3}{8}$

Step 1.2.4.2

Add

$24$ and

$3$ .

$8 - \frac{27}{8}$

Step 2

To write

$8$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$8 \cdot \frac{8}{8} - \frac{27}{8}$

Step 3

Combine

$8$ and

$\frac{8}{8}$ .

$\frac{8 \cdot 8}{8} - \frac{27}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{8 \cdot 8 - 27}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$8$ by

$8$ .

$\frac{64 - 27}{8}$

Step 5.2

Subtract

$27$ from

$64$ .

$\frac{37}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{37}{8}$

Decimal Form:

$4.625$

Mixed Number Form:

$4 \frac{5}{8}$